Question

a vertical solid steel post 29cm in diameter and 2.0m long is required to support a load of 8200kg, ignore the weight of the post. determine the stress in the post​

Answer 1

The stress is
`\sigma = 1.218*10^(6) \ N/m^2`

Step-by-step explanation:

From the question we are told that

The diameter of the post is
`d = 29 \ cm = 0.29 \ m`

The length is
`L = 2.0 \ m`

The weight of the loading mass

Generally the radius of the post is mathematically represented as

`r = (0.29)/(2)`

=>
`r = 0.145 \ m`

Generally the area of the post is

`A = \pi r^2`

=>
`A = 3.14 * 0.145 ^2`

=>
`A = 0.066 \ m^2`

Generally the weight exerted by the load is mathematically represented as

`F = m * g`

=>
`F = 8200 * 9.8`

=>
`F = 80360 \ N`

Generally the stress is mathematically represented as

`\sigma = (F)/(A)`

=>
`\sigma = (80360 )/(0.066)`

=>
`\sigma = 1.218*10^(6) \ N/m^2`